含变系数或强迫项的KdV方程的新解

付遵涛; 刘式达; 刘式适; 赵强

含变系数或强迫项的KdV方程的新解

1.
北京大学物理学院,北京 100871;2.北京大学湍流与复杂系统研究国家重点实验室,北京 100871

基金项目: 国家自然科学基金(40175016);国家自然科学基金(40035010)

详细信息

作者简介:
付遵涛(1970- )男,黑龙江人,副教授,博士(联系人.Tel:86-10-62767184;E-mail:fuzt@pku.edu.cn).

中图分类号: O175；O411
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- 被引次数: 0
出版历程
- 收稿日期: 2002-08-28
- 修回日期: 2003-07-31
- 刊出日期: 2004-01-15

New Exact Solutions to KdV Equations With Variable Coefficients or Forcing

1.
School of Physics, Peking University, Beijing 100871, P. R. China;

摘要

摘要: Jacobi椭圆函数展开法被推广并用于求解另一种形式的KdV方程的新的精确解，所求解的这类KdV方程包括一种典型的变系数的KdV方程和具有强迫项（随机项）的KdV方程．用这种方法得到的新的类周期解在极限条件下可以退化为类孤立波解或类冲击波解．
- Jacobi椭圆函数 /
- 类孤立波解 /
- 类椭圆余弦波解
Abstract: Jacobi elliptic function expansion method is extended to construct the exact solutions to another kind of KdV equations,which have variable coefficients or forcing terms.And new periodic solutions obtained by this method can be reduced to the soliton-typed solutions under the limited condition.
- Jacobi elliptic function /
- soliton-tysped solution /
- cnoidal wave-typed solution

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参考文献(26)

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